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Finding the Third Proportional to 193,582 and 291,501

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Solution

The third proportional to 193,582 and 291,501 is: 438,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,582 : 291,501 = 291,501 : x
  2. Step 2: Convert to fraction form
    193,582/291,501 = 291,501/x
  3. Step 3: Cross multiply
    193,582x = 291,501 × 291,501
  4. Step 4: Simplify right side
    193,582x = 84,972,833,001
  5. Step 5: Solve for x
    x = 84,972,833,001/193,582
  6. Step 6: Final answer
    x = 438,950.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.